16164400 has 120 divisors (see below), whose sum is σ = 46497024. Its totient is φ = 5280000.

The previous prime is 16164389. The next prime is 16164403. The reversal of 16164400 is 446161.

16164400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×16164400² = 522575654720000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (16164403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64275 + ... + 64525.

Almost surely, 2^16164400 is an apocalyptic number.

16164400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16164400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23248512).

16164400 is an abundant number, since it is smaller than the sum of its proper divisors (30332624).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

16164400 is a wasteful number, since it uses less digits than its factorization.

16164400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 16164400 is about 4020.4974816557. The cubic root of 16164400 is about 252.8443167246.

It can be divided in two parts, 161 and 64400, that multiplied together give a square (10368400 = 3220²).

The spelling of 16164400 in words is "sixteen million, one hundred sixty-four thousand, four hundred".